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Finding the Fourth Proportional to 228,157.62, 342,323.94 and 95,002.14

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Solution

The fourth proportional to 228,157.62, 342,323.94 and 95,002.14 is: 142,539.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,157.62 : 342,323.94 = 95,002.14 : x
  2. Step 2: Convert to fraction form
    228,157.62/342,323.94 = 95,002.14/x
  3. Step 3: Cross multiply
    228,157.62x = 342,323.94 × 95,002.14
  4. Step 4: Simplify right side
    228,157.62x = 32,521,506,873.23
  5. Step 5: Solve for x
    x = 32,521,506,873.23/228,157.62
  6. Step 6: Final answer
    x = 142,539.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.